Online GCD Calculator is useful to find the GCD of 560, 538, 428, 249 quickly. Get the easiest ways to solve the greatest common divisor of 560, 538, 428, 249 i.e 1 in different methods as follows.
Given Input numbers are 560, 538, 428, 249
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
GCD of numbers is the greatest common divisor
So, the GCD (560, 538, 428, 249) = 1.
Given numbers are 560, 538, 428, 249
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 538 are 2 x 269
Prime factors of 428 are 2 x 2 x 107
Prime factors of 249 are 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 538, 428, 249
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 538) = 150640
GCD(560, 538) = ( 560 x 538 ) / 150640
= 560 / 538
= 560
Step2:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
Step3:
LCM(2, 249) = 498
GCD(2, 249) = ( 2 x 249 ) / 498
= 2 / 249
= 2
So, Greatest Common Divisor of 560, 538, 428, 249 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 538, 428, 249
The greatest common divisor of numbers 560, 538, 428, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 538, 428, 249 is 1.
1. What is the GCD of 560, 538, 428, 249?
GCD of given numbers 560, 538, 428, 249 is 1
2. How to calculate the greatest common divisor of 560, 538, 428, 249?
We can find the highest common divisor of 560, 538, 428, 249 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 560, 538, 428, 249 i.e 1.
3. How can I use the GCD of 560, 538, 428, 249Calculator?
Out the numbers 560, 538, 428, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.